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Finding the Fourth Proportional to 253.31, 349.54 and 142.78

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Solution

The fourth proportional to 253.31, 349.54 and 142.78 is: 197.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.31 : 349.54 = 142.78 : x
  2. Step 2: Convert to fraction form
    253.31/349.54 = 142.78/x
  3. Step 3: Cross multiply
    253.31x = 349.54 × 142.78
  4. Step 4: Simplify right side
    253.31x = 49,906.09
  5. Step 5: Solve for x
    x = 49,906.09/253.31
  6. Step 6: Final answer
    x = 197.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.